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Finding the Fourth Proportional to 10,844.44, 16,249.70 and 8,385.32

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Solution

The fourth proportional to 10,844.44, 16,249.70 and 8,385.32 is: 12,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.44 : 16,249.70 = 8,385.32 : x
  2. Step 2: Convert to fraction form
    10,844.44/16,249.70 = 8,385.32/x
  3. Step 3: Cross multiply
    10,844.44x = 16,249.70 × 8,385.32
  4. Step 4: Simplify right side
    10,844.44x = 136,258,934.40
  5. Step 5: Solve for x
    x = 136,258,934.40/10,844.44
  6. Step 6: Final answer
    x = 12,564.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.